0.3 m 0.9 m 0.6 m 0.9 m B
Two disks each have a mass of 5 kg and a radius 300 mm. They spin as shown at the rate of w1 = 1200 rpm about a rod AB of negligible mass that rotates about the horizontal z axis at the rate of w2 = 60 rpm. (a) Determine the dynamic reactions at points C and D. (b) Solve part (a) assuming that the direction of spin of disk A is reversed.
Given:
Two disks each have a mass of 5 kg and a radius 300 mm. They spin as shown at the rate of w1 = 1200 rpm about a rod AB of negligible mass that rotates about the horizontal z axis at the rate of w2 = 60 rpm.
The diagram is shown below as,
The angular velocity of the disc is determined as below,
Where,
N denotes the speed of the pulley.
The N value is substituted for 1200 rpm.
On simplifying the values as,
Hence, the value is 125.66 rad/s
The angular momentum at the rate A being calculated as,
On substituting the values as,
Here,
HA determines the value of angular momentum at A
The moment of inertia that is determined along x,y and z directions are Ix, Iy and Iz.
The angular velocity determines in x, y and z directions are Wx,Wy and Wz
The mass of the disk is m
The radius of the disk is r
The angular acceleration at A is determined as below,
Here,
The angular acceleration is
The initial acceleration at origin is
On substituting the values of
The equation becomes,
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